After being disappointed with Canon’s sensor cleaning, I finally did it myself.
I took a before photo, made one pass with a fresh swab, took another test photo, made a second pass, then a last test photo. Finally, I took the above photo of the box of Sensor Swabs and Eclipse E2.
There’s still a couple dust spots around the edges, but I’m 99% sure it’s because I didn’t emphasize those areas in my swabbing.
Don’t be scared. It really is simple. Just exercise caution and you’ll be awesome[2. Disclaimer: I’m not responsible for any damage you cause to your camera.].